Title: Varieties of general type with small volume
Speaker: Burt Totaro
Speaker Info: UCLA
Brief Description:
Special Note:
Abstract:
In trying to classify algebraic varieties, the fundamental invariant is the "volume", generalizing the genus of a curve. In higher dimensions, the volume need not be an integer, and so it is a fascinating challenge to construct varieties with the smallest possible positive volume. These can be considered the varieties that are hardest to find. (Joint work with Louis Esser and Chengxi Wang.)Date: Wednesday, April 06, 2022